所屬科目:學士後西醫-物理
1. Consider the block and spring system shown in the drawing. On the earth’s surface the natural frequency is ω. The system is then transported into moon’s surface (Gravitational acceleration: gMoon = gEarth/6). How will the natural frequency of the system change? (A) 6ω (B) ω (C) ω/6 (D) ω/(E) The frequency doesn’t change.
2. What is this body’s moment of inertia I about axis through disk A? (A) 1.8 kg · m (B) 1.8 kg · m2 (C) 4.0 kg · m (D) 4.0 kg · m2 (E) 5.0 kg ·m2
3. The figure shows a plot of the time-dependent force acting on a particle in motion along the x-axis. What is the total impulse delivered to the particle? (A) 0 kg · m/s (B) 1 kg · m/s (C) 2 kg · m/s (D) 3 kg · m/s (E) 4 kg · m/s
4. A block of mass m sliding down an incline at constant speed is initially at a height h above the ground, as shown in the figure. The coefficient of kinetic friction between the mass and the incline is μ.If the mass continues to slide down the incline at a constant speed, how much energy is dissipated by friction by the time the mass reaches the bottom of the incline? (A) mgh/µ (B) mgh (C) µmgh/ sin θ (D) mgh sin θ (E) 0
9. There is a solid insulating sphere with radius R and total charge Q. Which diagram is correct for electric field E at any point inside or outside the sphere? (A) (B) (C) (D) (E)
15. There is a doughnut-shaped toroidal solenoid with 200 turns of wires carrying current 0.02A. The inner radius of that is 1 m and outer radius is 5 m. What is the magnetic field B of this doughnut-shaped toroidal solenoid at the point with distance 0.5 m from center of that? ( μ0 is permeability constant ) (A) 0 (B) 4 μ0/π (C) 2 μ0/π (D) μ0/2π (E) μ0/4π
32. A bullet of mass m traveling at speed v strikes a block of mass M, initially at rest, and is embedded in it as shown below. How far will the block with the bullet embedded in it slide on a rough horizontal surface of coefficient of kinetic friction μk before it comes to rest? (A) (B) (C) (D) (E)
34. Two blocks are in contact on a frictionless table. A horizontal force is applied to the larger block. F = 100 N, m1 /m2 = 2. The force acting on the small block from the larger one is, (A) 100/2 N (B) 100/3 N (C) 100/4 N (D) 100/6 N (E) 100/8 N
35. A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axis through its center. A uniform solid cylinder of mass M, radius R, and length 2R rotates through an axis running through the central axis of the cylinder. What must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere? (A) 2ω/5 (B) 2ω/ (C) ω/ (D) ω (E) 4ω/5
37. A charged dust particle of mass m = 32 mg and charge value q =100 nC is releasing from plate 1 with zero speed, where V1 = 130 V, and V2 = –30 V. The dust particle velocity when reaching plate 2 is, (A) 0.03 m/s (B) 0.05 m/s (C) 0.75 m/s (D) 1.00 m/s (E) 1.25 m/s
38. As a gas is held within a closed chamber, it passes through the cycle shown in the figure. Along path ab, the change in the internal energy is 3.0 J and the magnitude of the work done is 5.0 J. Along path ca, the energy transferred to the gas as heat is 2.5 J. How much the change in the internal energy along path bc? (A) +5.5 J (B) +10.5 J (C) –0.5 J (D) –10.5 J (E) –5.5 J
40. In process ab, 20 J of heat is added to the system. In process bd, 80 J of heat is added to the system. Find the internal energy change ΔU in process acd? (A) 0 J (B) 20 J (C) 59 J (D) 79 J (E) 100 J
(試題疑義:無答案)42. Water flows through a horizontal pipe and then out into the atmosphere, where d2/d1 = 2. The speed of the water at the output of the pipe is v1 = 10 m/s. The desity of water is 1g/cm3 . What is the gauge pressure at the left section? (1 atm = 1.01 × 105 Pa ) (A) 4.6 atm (B) 4.8 atm (C) 5.0 atm (D) 5.2 atm (E) 5.4 atm
45. There are two parallel-plate capacitors with same plate area A. As the figure illustrated, C1 is filled with two materials of dielectric constants κ and 2κ, while C2 is filled with only one material. The capacitance ratio C1 / C2 is___________ . (A) 0.5 (B) 1.0 (C) 1.5 (D) 2.0 (E) 2.5
46. What is the equivalent resistance of the circuit in the figure? (A) 8.6 Ω (B) 13.8 Ω (C) 3.6 Ω (D) 42.4 Ω (E) 19.6 Ω
(試題疑義:無答案)49. Three charge particles are situated as illustrated. Particle 1 and 2 are fixed, while particle 3 is free to move. If there is no net force on the particle 3, what is the charge ratio q2/q1? (A) 2 (B) 2/3 (C) 3 (D) –2/3 (E) –2
50. The sliding bar has a length of 1.0 m, and moves at 3.0 m/s in a magnetic field of magnitude 0.5 T. This could induced motional emf. If the resistance in the circuit is 1.0 Ω, what is the power delivered to the resistor if the current goes counterclockwise around the loop? (A) 0.85 W (B) 1.35 W (C) 1.80 W (D) 2.25 W (E) 2.55 W
52. The figure shows the energy levels for an electron in a finite potential energy well. If the electron makes a transition from the n = 3 state to the ground state, what is the wavelength of the emitted photon? (A) 2.3 nm (B) 3.0 nm (C) 5.3 nm (D) 5.7 nm (E) 6.0 nm
59. The wave function of the string wave is given by , where h denotes a general function. The speed of a wave is____________ . (A) 2 m/s (B) 1.5 m/s (C) 1 m/s (D) 0.5 m/s (E) 0.25 m/s
60. A standing sound wave pattern on a long string is described by y(all in SI unit). The distance between two nodes is ____________. (A) 0.1 m (B) 0.2 m (C) 0.3 m (D) 0.4 m (E) 0.5 m